A global approximation result by Bert Alan Taylor and the strong openness conjecture in \({\mathbb {C}}^n\)

DOI10.1007/s12220-017-9768-5zbMath1404.32001arXiv1604.07305OpenAlexW2592665195WikidataQ122923431 ScholiaQ122923431MaRDI QIDQ1742927

Jujie Wu, John-Erik Fornaess

Publication date: 12 April 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07305

zbMATH Keywords

weighted approximationopenness conjecture\(L^2\)-estimate of \(\overline{\partial}\)-equation

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05) Entire functions of several complex variables (32A15) Plurisubharmonic functions and generalizations (32U05)

Related Items (6)

Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain. IV: Product of open Riemann surfaces ⋮ Boundary points, minimal \(L^2\) integrals and concavity property \(V\): vector bundles ⋮ Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain V-fibrations over open Riemann surfaces ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Weighted approximation in \(\mathbb{C} \) ⋮ Weighted \(L^2\) approximation of analytic sections

Cites Work

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• A proof of Demailly's strong openness conjecture
• \(L^ 2\)-cohomology and index theorem for the Bergman metric
• Effectiveness of Demailly's strong openness conjecture and related problems
• On weighted polynomial approximation of entire functions
• Parameter dependence of the Bergman kernels
• The Openness Conjecture and Complex Brunn-Minkowski Inequalities

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